Affiliations: [a] Faculty of Science, Kanagawa University, Kanagawa, Japan | [b] Center for Advanced Intelligence Project, RIKEN, Tokyo, Japan | [c] School of Computer Science, Tokyo University of Technology, Tokyo, Japan | [d] College of Science and Engineering, Aoyama Gakuin University, Kanagawa, Japan | [e] Faculty of Advanced Science and Technology, Ryukoku University, Shiga, Japan | [f] Institute of Scientific and Industrial Research, Osaka University, Osaka, Japan
Abstract: We challenge the problem of efficiently identifying critical links that substantially degrade network performance if they do not function under a realistic situation where each link is probabilistically disconnected, e.g., unexpected traffic accident in a road network and unexpected server down in a communication network. To solve this problem, we utilize the bridge detection technique in graph theory and efficiently identify critical links in case the node reachability is taken as the performance measure.To be more precise, we define a set of target nodes and a new measure associated with it, Target-oriented latent link Criticalness Centrality (TCC), which is defined as the marginal loss of the expected number of nodes in the network that can reach, or equivalently can be reached from, one of the target nodes, and compute TCC for each link by use of detected bridges. We apply the proposed method to two real-world networks, one from social network and the other from spatial network, and empirically show that the proposed method has a good scalability with respect to the network size and the links our method identified possess unique properties. They are substantially more critical than those obtained by the others, and no known measures can replace the TCC measure.
